Question

the speed of train A is 25km/h more than the speed of train B. A takes 4 hours less time to travel a distance of 300km than what train B takes to travel 250km. what is the speed of A ?​

Answer 1

The speed of Train A is 50 km/h

Step-by-step explanation:

Let the speed of train A be v km/h

Speed of train B = (v-25) km/h

Using the formula

Time = Distance/Speed

Time taken by train A in travelling 300 km

$t=\frac{300}{v}$

Time taken by train B in travelling 250 km

$t'=\frac{250}{v-25}$

According to the question

$t+4=t'$

$\implies \frac{300}{v}+4=\frac{250}{v-25}$

$\implies 300(v-25)+4v(v-25)=250v$

$\implies 300v-7500+4v^2-100v=250v$

$\implies 4v^2-100v-7500+50v=0$

$\implies 4v^2-50v-7500=0$

$\implies 2v^2-25v-3750=0$

$\implies 2v^2-100v+75v-3750=0$

$\implies 2v(v-50)+75(v-50)=0$

$\implies (2v+75)(v-50)=0$

$\implies v=50, -75/2$

But speed cannot be negative

Thus,

v = 50 km/h

Therefore, the speed of the train A is 50 km/h

Know More:

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Q: The distance between two stations A and B is 250km.Two train started simultaneously from AandB in opposite directions. The distance between them after 2-1/2hours is 25 km. I If the speed of one train is 10 km/hour.more than the other. I Find the speed of each of the trains.

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Answer 2

Answer:

50km/hr

Step-by-step explanation:

hope it will help you